Statement-1: If a conic circumscribes a quadrilateral, the ratio of the product of the perpendiculars from any point ˋp' of the conic on two opposite sides of the quadrilateral to the product of

Question

Statement-1: If a conic circumscribes a quadrilateral, the ratio of the product of the perpendiculars from any point ˋp' of the conic on two opposite sides of the quadrilateral to the product of perpendiculars from ˋp' upon the other sides is the same for all positions of ˋp'.

Statement-2: Equation of a conic passing through the angular points formed by the lines $L = 0, M = 0, N = 0$ and $R = 0$ , which are the four sides of a quadrilateral taken in order, is $L N = μ MR$ .

TestHub · Accepted Answer

L N = μ RM is a conic passing through the angular points and L is proportional to the perpendicular from any point ( x , y ) on the line L = 0 , etc.; the ratio of the products is μ , the same for all positions of ˋp'.

Mathematics - Straight Lines Question with Solution | TestHub

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